45185152 has 32 divisors (see below), whose sum is σ = 90478080. Its totient is φ = 22477056.

The previous prime is 45185123. The next prime is 45185171. The reversal of 45185152 is 25158154.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×45185152² = 4083395922526208, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 27753 + ... + 29335.

It is an arithmetic number, because the mean of its divisors is an integer number (2827440).

Almost surely, 2^45185152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45185152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45239040).

45185152 is an abundant number, since it is smaller than the sum of its proper divisors (45292928).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

45185152 is a wasteful number, since it uses less digits than its factorization.

45185152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1820 (or 1808 counting only the distinct ones).

The product of its digits is 8000, while the sum is 31.

The square root of 45185152 is about 6721.9901814864. The cubic root of 45185152 is about 356.1764895211.

The spelling of 45185152 in words is "forty-five million, one hundred eighty-five thousand, one hundred fifty-two".